Pronunciation: /kraɪˈtɪər.iən/ Explain

A criterion is a necessary requirement for a theorem to be true. When a standard is given to show what members are included in a set, the standard is called a criterion. The plural of criterion is criteria.


If only high school students can participate in a math contest, the criterion for participating in the math contest is being a high school student.

Check box Understanding Check

For each of the statements below identify the criterion. The click on the answer you picked.
  • If x < 0 then y > 0.
    A. x < 0 B. y > 0
  • When your room is cleaned up, you can go to the mall.
    A. Your room is cleaned up. B. You can go to the mall.
  • We will stay inside if it is raining.
    A. We will stay inside. B. It is raining.
  • If the shirt fits and we can afford it, we will buy the shirt.
    A. The shirt fits. B. We can afford the shirt. C. We will buy the shirt.


  1. McAdams, David E.. All Math Words Dictionary, criterion. 2nd Classroom edition 20150108-4799968. pg 50. Life is a Story Problem LLC. January 8, 2015. Buy the book

More Information

  • McAdams, David E.. condition. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018.

Cite this article as:

McAdams, David E. Criterion. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC.

Image Credits

Revision History

4/16/2019: Updated equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/6/2010: Added "References". (McAdams, David E.)
7/11/2008: Added Understanding Check. (McAdams, David E.)
3/25/2008: Revised More Information to match current standard. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)

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